JEE Math Practice Question
The value of $$\mathop {\lim }\limits_{n \to \infty } {1 \over n}\sum\limits_{r = 0}^{2n - 1} {{{{n^2}} \over {{n^2} + 4{r^2}}}} $$ is :
- A.$${1 \over 2}{\tan ^{ - 1}}(2)$$
- B.$${1 \over 2}{\tan ^{ - 1}}(4)$$
- C.$${\tan ^{ - 1}}(4)$$
- D.$${1 \over 4}{\tan ^{ - 1}}(4)$$
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